Relative Auslander–Reiten sequences
for quasi-hereditary algebras

Karin Erdmann; José Antonio de la Peña; Corina Sáenz

doi:10.4064/cm91-1-9

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Relative Auslander–Reiten sequences for quasi-hereditary algebras

Karin Erdmann ¹ ; José Antonio de la Peña ² ; Corina Sáenz ³

¹ Mathematical Institute 24-29 St. Giles Oxford OX1 3LB, UK
² Instituto de Matemáticas Circuito Exterior Ciudad Universitaria 04510 México D.F., Mexico
³ Facultad de Matemáticas Apdo. Postal 402 Guanajuato GTO 36000, Mexico

Colloquium Mathematicum, Tome 91 (2002) no. 1, pp. 123-142.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

Let $A$ be a finite-dimensional algebra which is quasi-hereditary with respect to the poset $({\mit \Lambda }, \leq )$, with standard modules $\Delta (\lambda )$ for $\lambda \in {\mit\Lambda }$. Let ${\cal F}(\Delta )$ be the category of $A$-modules which have filtrations where the quotients are standard modules. We determine some inductive results on the relative Auslander–Reiten quiver of ${\cal F}(\Delta )$.

DOI : 10.4064/cm91-1-9

Keywords: finite dimensional algebra which quasi hereditary respect poset mit lambda leq standard modules delta lambda lambda mit lambda cal delta category a modules which have filtrations where quotients standard modules determine inductive results relative auslander reiten quiver cal delta

Affiliations des auteurs :

Karin Erdmann ¹ ; José Antonio de la Peña ² ; Corina Sáenz ³

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Karin Erdmann; José Antonio de la Peña; Corina Sáenz. Relative Auslander–Reiten sequences
for quasi-hereditary algebras. Colloquium Mathematicum, Tome 91 (2002) no. 1, pp. 123-142. doi : 10.4064/cm91-1-9. http://geodesic.mathdoc.fr/articles/10.4064/cm91-1-9/

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